Abstract composition rule for relativistic kinetic energy in the thermodynamical limit

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29 Citations (Scopus)

Abstract

We demonstrate by simple mathematical considerations that a power-law-tailed distribution in the kinetic energy of relativistic particles can be a limiting distribution seen in relativistic heavy-ion experiments. We prove that the infinite repetition of an arbitrary composition rule on an infinitesimal amount leads to a rule with a formal logarithm. As a consequence the stationary distribution of energy in the thermodynamical limit follows the composed function of the Boltzmann-Gibbs exponential with this formal logarithm. In particular, interactions described as solely functions of the relative four-momentum squared lead to kinetic energy distributions of the Tsallis-Pareto (cut power law) form in the high-energy limit.

Original languageEnglish
Article number56003
JournalEPL
Volume84
Issue number5
DOIs
Publication statusPublished - 2008

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kinetic energy
logarithms
relativistic particles
repetition
heavy ions
energy distribution
momentum
energy
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Abstract composition rule for relativistic kinetic energy in the thermodynamical limit. / Bíró, T.

In: EPL, Vol. 84, No. 5, 56003, 2008.

Research output: Contribution to journalArticle

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